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A370087 Expansion of e.g.f. exp( Sum_{k>=1} (3*k)!/k! * (x/6)^k/k ). 1
1, 1, 11, 591, 95001, 34158801, 23091398451, 26242572454911, 46391926016144241, 120482101765570623201, 439905589366043539453851, 2180755271892747703236167151, 14267395360715456605222995351561, 120323721300147111590970495558478641 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
a(0) = 1; a(n) = (1/n) * Sum_{k=1..n} (3*k)!/6^k * binomial(n,k) * a(n-k).
PROG
(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(sum(k=1, N, (3*k)!/k!*(x/6)^k/k))))
CROSSREFS
Sequence in context: A363460 A265978 A263184 * A288326 A260583 A079915
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Feb 08 2024
STATUS
approved

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Last modified May 23 16:36 EDT 2024. Contains 372765 sequences. (Running on oeis4.)